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1. The graph of f (x)=cos(x)  is transformed to a new function, g(x), by stretching it horizontally by a factor of 4 and shifting it 1 unit up.

What is the equation of the new function g (x)?

g(x)= 

 

2. 

What is the amplitude of the function f(x)?

f(x)=3/4cos(3x)+4

 

3. 

What is the equation of the midline for the function f(x)?

f(x)=1/2cos(x)+5

 

I really appreciate your help. Thanks so much.

 Feb 17, 2018

Best Answer 

 #1
avatar+18049 
+1

1.     cos(x)     now stretch it horizontally by 4

        cos (x/4)    Now shift it UP by '1'

         cos(x/4) +1 

 

2.   amplitude = 3/4

 

3. A cos (x ) wave with amplitude  1/2     has midline at 0       Now shift it UP by 5....the midline now shifts up by 5

      midline is at 5     SO:     y=5

 Feb 17, 2018
 #1
avatar+18049 
+1
Best Answer

1.     cos(x)     now stretch it horizontally by 4

        cos (x/4)    Now shift it UP by '1'

         cos(x/4) +1 

 

2.   amplitude = 3/4

 

3. A cos (x ) wave with amplitude  1/2     has midline at 0       Now shift it UP by 5....the midline now shifts up by 5

      midline is at 5     SO:     y=5

ElectricPavlov Feb 17, 2018

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